At a gathering,
25 of the people are adults. The remaining group of people is divided into boys and girls in the ratio of 3 : 5. Each boy is given 4 sweets and each girl is given 5 sweets. Each accompanying adult receives 7 sweets. Given that only 561 sweets are given away to girls and adults, how many less boys are there than girls?
Boys |
Girls |
Adults |
3x8 |
2x8 |
3x3 |
5x3 |
|
9 u |
15 u |
16 u |
The number of children is repeated. Make the number of children the same. LCM of 3 and 8 is 24.
|
Boys |
Girls |
Adults |
Number |
9 u |
15 u |
16 u |
Value |
4 |
5 |
7 |
Total value |
36 u |
75 u |
112 u |
Number of sweets given away to girls and adults
= 75 u + 112 u
= 187 u
1 u = 561 ÷ 187 = 3
Number of less boys than girls
= 15 u - 9 u
= 6 u
= 6 x 3
= 18
Answer(s): 18